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1381299200 = 2105279683
BaseRepresentation
bin101001001010100…
…1111010000000000
310120021011021021122
41102111033100000
510312103033300
6345022011412
746141564241
oct12225172000
93507137248
101381299200
11649786596
12326716b68
13190231808
14d1644cc8
15813edc85
hex5254f400

1381299200 has 132 divisors (see below), whose sum is σ = 3472367040. Its totient is φ = 544727040.

The previous prime is 1381299193. The next prime is 1381299223. The reversal of 1381299200 is 29921831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2022059 + ... + 2022741.

Almost surely, 21381299200 is an apocalyptic number.

1381299200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736183520).

1381299200 is an abundant number, since it is smaller than the sum of its proper divisors (2091067840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1381299200 is an equidigital number, since it uses as much as digits as its factorization.

1381299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 1381299200 is about 37165.8337724314. The cubic root of 1381299200 is about 1113.6855551479.

The spelling of 1381299200 in words is "one billion, three hundred eighty-one million, two hundred ninety-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 79 80 100 128 158 160 200 256 316 320 395 400 512 632 640 683 790 800 1024 1264 1280 1366 1580 1600 1975 2528 2560 2732 3160 3200 3415 3950 5056 5120 5464 6320 6400 6830 7900 10112 10928 12640 12800 13660 15800 17075 20224 21856 25280 25600 27320 31600 34150 40448 43712 50560 53957 54640 63200 68300 80896 87424 101120 107914 109280 126400 136600 174848 202240 215828 218560 252800 269785 273200 349696 404480 431656 437120 505600 539570 546400 699392 863312 874240 1011200 1079140 1092800 1348925 1726624 1748480 2022400 2158280 2185600 2697850 3453248 3496960 4316560 4371200 5395700 6906496 8633120 8742400 10791400 13812992 17266240 17484800 21582800 27625984 34532480 43165600 55251968 69064960 86331200 138129920 172662400 276259840 345324800 690649600 1381299200